Preschool math lessons:
Do kids need to be in a classroom to learn?
© 2008 - 2013 Gwen Dewar, Ph.D., all rights reserved
Preschool math lessons might have long-term effects.
But do these lessons have to happen in an school setting? Popular media reports imply that they do. But I doubt it.
In 2008, the popular media were abuzz with a new study about children's math achievement published in the journal Science (Melhuish et al 2008a).
According to the headlines, the study’s main finding was that
preschool attendance gives kids a boost in math skills that lasts until
they are at least 10 years old. And to some writers, the political
implications seemed clear: We should adopt a policy of universal
But if you actually read the study, you get a different picture.
The study reports that the most important predictors of math achievement were maternal education and the quality of the preschoolers’ home learning environment.
Attendance of a preschool had a positive effect, too.
But the effect applied only to a select group of “highly effective"
preschools -- schools that produced students who knew more about math
upon graduation than would be expected on the basis of their prior
attainments, home advantages, and so forth (Melhuish et al 2008b).
Those preschools rated as moderately effective were not associated with better math skills.
More details? Let’s look.
The early years: Preschool influences on mathematics achievement
University of London Professor Edward Melhuish and his colleagues
(2008a; 2008b) were interested in the variables that influence long-term
math achievement in kids. They tracked British children from age 3
until their 6th year in primary school (when they were about 10 years
The researchers looked at all sorts of things that might
influence math achievement in primary school, including these social
• Parent’s socioeconomic status
• Total family annual salary
• Mother’s level of education
• Father’s level of education
• Home learning environment
• Preschool effectiveness
• Primary school effectiveness
Which variables had the greatest impact?
In order of their importance, the variables linked with the greatest positive effects on math achievement were:
1. Mother with college degree or professional qualifications (0.50)
2. Highest-quality home learning environment (0.40)
3. Indian ethnicity (0.35)
4. Attending an highly effective primary school (.33)
5. Being in the highest income bracket (0.31)
6. Attending a highly effective preschool (0.26)
7. Father with college degree or professional qualifications (0.23)
8. Medium-quality home learning environment (.21)
The numbers in parentheses are a measure of each variable’s effect.
As you can see, maternal education was far and away the largest effect.
Next was the home learning environment.
These effects weren’t just sizeable. They were also highly
statistically significant, meaning, in this case, that the chance of
getting these results by accident were less than one-tenth of one
Moreover, the positive effects of maternal education and home
learning environment were just as big for low-income as they were for
And the effects were independent, meaning that high-quality home
environments were linked with better outcomes even after controlling for
high income, parents' education levels, and so forth.
What is the moral of this story? I suppose it depends on your
interests. If you are a parent, the most important message may be that
your home environment can have a big impact on your child's math
achievement -- one that may outstrip sending your child to the most
Even variable #3--Indian ethnicity--may reflect the influence of
parenting, if Indian parents, like other parents of Asian ethnicity, are
more likely to adopt attitudes that promote math achievement (Sammons
et al 2007; Stevenson and Lee 1990).
And yet the popular headlines proclaimed a different moral:
“Preschool helps boost math skills." Not exactly untrue. But it's rather
misleading, given that only the subset of "highly effective" preschools
were found to make a difference.
Why the spin? I think it’s pretty clear. Many of the popular articles
I’ve seen link the study with the argument for universal preschool.
People want to believe that preschool will set kids on a course for high
mathematics achievement. And perhaps it will--if kids are lucky enough to attend “highly effective" preschools.
But--as noted below--this research doesn’t tell us why some
preschools were “highly effective" and others were not. And, in any
case, most parents have few choices when it comes to finding the right
By contrast, parents have a lot of personal control over their preschooler’s home learning environment.
So wouldn’t it be more helpful if these popular accounts covered that aspect of the story?
What is a “highly effective" home learning environment?
To answer this question, Melhuish and colleagues conducted a series
of parent interviews and devised a checklist of activities that kids
might do with their parents.
Then the researchers analyzed which of these activities predicted
better math scores for 10 year olds. As it turns out, the social
activities on their checklist had little to do with math achievement.
But the activities associated with literacy and numeracy had
significant, positive effects on better-than-expected math achievement.
• Being read to
• Going to the library
• Playing with numbers
• Painting and drawing
• Being taught letters
• Being taught numbers
• Being taught songs/poems/rhymes
Why were these activities effective? Melhuish and colleagues
think they were valuable in several respects. Kids learned specific
facts and skills. But they probably also benefited in other, more
general ways, "learning how to learn" (Melhuish et al 2008b).
What is a “highly effective" preschool?
As noted above, the researchers defined a preschool as “effective" if
its students performed better than could be expected based on the
students’ personal characteristics (like prior educational attainment
and family background).
But that doesn’t explain why some preschools were more effective
than others. What did these schools do differently? The study doesn’t
tell us that. And it’s not because the researchers didn’t try to figure
The study that Melhuish and his colleagues have published in Science
is part of a larger research program that has been going on for several
years. If you check out their other reports, you’ll find that the
researchers visited preschools to rate their quality (Sylva et al 2004;
Samms et al 2007).
But it turns out that these preschool quality ratings didn’t predict long-term achievement in math.
As a result, researchers can’t say why some preschools were more effective than others. Not based on this study.
So what's the crucial factor?
Research at tracking specific math skills may help us figure it out.
Evidence is accumulating that one of the most important predictor
of long-term mathematics achievement is a young child's understanding
of the meaning of numbers -- understanding the quantity that a number
represents and being able to compare that quantity with others.
For instance, studies suggest that kindergarteners and first
graders who are good comparing numerical magnitudes go on to perform
better on standardized math tests (De Smedt et al 2009; Mazzocco et al
2011; Sasanguie et al 2012; Sasanguie et al 2013).
Might Melhuish's "highly effective" preschools have done a better
job of getting kids to think about quantity? It's plausible.
For more information about specific activities that may boost number sense, see this evidence guide to preschool math lessons.
References: Must preschool math lessons take place in a classroom?
De Smedt B, Verschaffel L, Ghesquière P. 2009. The predictive value
of numerical magnitude comparison for individual differences in
mathematics achievement. J Exp Child Psychol. 103(4):469-79.
Mazzocco MM, Feigenson L, and Halberda J. 2011. Preschoolers'
precision of the approximate number system predicts later school
mathematics performance. PLoS One. 6(9):e23749.
Melhuish EC, Sylva K, Sammons P, Siraj-Blatchford I, Taggart B,
Phan MB, and Malin A. 2008a. The early years. Preschool influences on
mathematics achievement. Science. 321(5893):1161-2
Melhuish EC, Sylva K, Sammons P, Siraj-Blatchford I, Taggart B,
Phan MB, and Malin A. 2008b. Supporting online material for: Preschool
influences on mathematics achievement. Science. 321(5893):1161-2.
Accessed on August 29, 2008 at
Sammons P, Sylva K, Melhuish E, Siraj-Blatchford I, Taggart B,
Grabbe Y and Barreau S. 2007. The Effective Pre-School and Primary
Education 3-11 Project (EPPE 3-11): Influences on Children’s Attainment
and Progress in Key Stage 2: Cognitive Outcomes in Year 5. London: DfES
/ Institute of Education, University of London.
Sasanguie D, Göbel SM, Moll K, Smets K, and Reynvoet B. 2013.
Approximate number sense, symbolic number processing, or number-space
mappings: what underlies mathematics achievement?
J Exp Child Psychol. 114(3):418-31.
Sasanguie D, De Smedt B, Defever E, and Reynvoet B. 2012.
Association between basic numerical abilities and mathematics
achievement. Br J Dev Psychol. 30(Pt 2):344-57.
Stevenson HW and Lee SY. 1990. Contexts of achievement: a study
of American, Chinese, and Japanese children. Monogr Soc Res Child Dev.
Sylva K, Melhuish E, Sammons P, Siraj-Blatchford I, Taggart B and
Elliot K. 2004. The effective provision of preschool education (EPPE)
project: Technical paper 12. final report: Effective pre-school
education. London: DfES / Institute of Education, University of London.
content last modified 5/13